Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 8 June 2020Accepted: 14 December 2020Published online: 19 April 2021Keywordstraveling waves, pulled fronts, nonlinear stability, resolvent expansionsAMS Subject Headings35B35, 35K25, 37L15Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society fo...

This paper is concerned with the study of the vibrations of a coupled fluid-solid periodic structure. As the period goes to zero, an asymptotic analysis of the spectrum (i.e., the set of eigenfrequencies) is performed with the help of a new method, the so-called Bloch-wave homogenization method (which is a blend of two-scale convergence and Bloch-wave decomposition). The limit spectrum is made ...

We present a simple physical mechanism that can account for the observed stellar mass spectrum for masses M∗>∼ 0.5M⊙. The model depends solely on the competitive accretion that occurs in stellar clusters where each star’s accretion rate depends on the local gas density and the square of the accretion radius. In a stellar cluster, there are two different regimes depending on whether the gas or t...

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

In this article we obtain asymptotic formulas for the Bloch eigenvalues of operator generated by a system Schrodinger equations with periodic PT-symmetric complex-valued coefficients. Then using these classify spectrum and find condition on coefficients which contains half line.

We construct a surface with cylindrical end which has finite number of Laplace eigenvalues embedded in its continuous spectrum. The is obtained by attaching to hyperbolic torus hole. To our knowledge, this the first example manifold whose known be and nonzero. construction can varied give examples arbitrary genus an arbitrarily large eigenvalues. constructed surfaces also have resonance-free re...

In this paper, we investigate the spectrum of self adjoint operator L defined by := (-1)r d2r/dx2r + A Q(x), where is a operator, Q(x) nuclear in separable Hilbert space, and derive asymptotic formulas for sum eigenvalues L.

New comparison theorems are presented comparing the asymptotic convergence factor of iterative methods for the solution of consistent (as well as inconsistent) singular systems of linear equations. The asymptotic convergence factor of the iteration matrix T is the quantity γ(T ) = max{|λ|, λ ∈ σ(T ), λ = 1}, where σ(T ) is the spectrum of T . In the new theorems, no restrictions are imposed on ...

We obtain exact asymptotic results for the disorder averaged persistence of a Brownian particle moving in a biased Sinai landscape. We employ a method that maps the problem of computing the persistence to the problem of finding the energy spectrum of a single-particle quantum Hamiltonian, which can be subsequently found. Our method allows us analytical access to arbitrary values of the drift (b...